• 제목/요약/키워드: electromagnetic potentials

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자기벡터포텐셜을 이용한 3차원 전자력 계산 (Electromagnetic Force Calculation using Magnetic Vector Potentials in 3-D Problems)

  • 양재진;이복용;이병환;이기식
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1994년도 하계학술대회 논문집 A
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    • pp.153-155
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    • 1994
  • Electric machines such as motors which have moving parts are desgined for producing mechanical force or torque. The accurate calculation of electromagnetic force and torque is important in the design these machines, Electromagnetic force calculation method using the results of Finite Element Method(FEM) has been presented variously in 2-D problems. Typically the Maxwell's Stress Tensor method and the method of virtual work are used. In the problems including current source, magnetic vector potentials(MVP) have mostly been used as an unknown variables for field analysis by numerical method; e, g. FEM. This paper, thus, introduces both methods using MVP in 3-D case. To verify the usefulness of presented methods, a solenoid model is chosen and analyzed by 3-D and axisymmetrical FEM. In each case, the calculated force are tabulated for several mesh schemes.

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Integral Transforms in Electromagnetic Formulation

  • Eom, Hyo Joon
    • Journal of electromagnetic engineering and science
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    • 제14권3호
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    • pp.273-277
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    • 2014
  • In this research, integral transform technique for electromagnetic scattering formulation is reviewed. Electromagnetic boundary-value problems are presented to demonstrate how the integral transforms are utilized in electromagnetic propagation, antennas, and electromagnetic interference/compatibility. Various canonical structures of slotted conductors are used for illustration; moreover, Fourier transform, Hankel transform, Mellin transform, Kontorovich-Lebedev transform, and Weber transform are presented. Starting from each integral transform definition, the general procedures for solving Helmholtz's equation or Laplace's equation for the potentials in the unbounded region are reviewed. The boundary conditions of field continuity are incorporated into particular formulations. Salient features of each integral transform technique are discussed.

Levy-type solution for analysis of a magneto-electro-elastic panel

  • Jia He;Xuejiao Zhang;Hong Gong;H. Elhosiny Ali;Elimam Ali
    • Steel and Composite Structures
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    • 제46권6호
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    • pp.719-729
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    • 2023
  • This paper studies electro-magneto-mechanical bending studying of the cylindrical panels based on shear deformation theory. The cylindrical panel is constrained with two simply-supported edges at longitudinal direction and two clamped boundary conditions at circumferential direction. The governing equations are derived based on the principle of virtual work in cylindrical coordinate system. Levy-type solution of the governing equations is derived to reduce two dimensional PDEs to a 2D ODEs. The reduced ordinary differential equation is solved using the Eigen-value Eigen-vector method for the clamped-clamped boundary condition. The electro-magneto-mechanical bending results are obtained to show that every displacement, rotation and electromagnetic potentials how change with changes of initial electromagnetic potentials and mechanical loads along longitudinal and circumferential directions.

자기벡터포텐셜을 이용한 3차원 전자력 계산 (Electromagnetic Force Calculation Using Magnetic Vector Potentials in 3-D Problems)

  • 양재진;이복용;이기식
    • 한국자기학회지
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    • 제6권2호
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    • pp.106-111
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    • 1996
  • 전동기와 같이 가동부를 갖는 전기기기는 힘이나 토크를 발생시키기 위하여 고안되었고, 힘이나 토크는 이들 기기의 해석과 설계에 중요한 요소이다. 지금까지 유한요소법을 이용한 전자력 계산 방법으로는 여러가지 방법들이 제시되어 왔고, 그 중 널리 사용되는 방법으로는 맥스웰 응력법과 가상변위법이 있다. 맥스웰 응력법은 맥스웰 스트레스텐서를 이용하여 표면 전자력 밀도를 구하고 이의 표면 적분으로 전자력을 구하는 방법이고, 가상변위법은 물체에 변위가 일어났을 때 발생하는 에너지의 변화량을 이용하여 전자력을 구하는 방법이다. 전류원이 포함된 문제에서는 정확도를 높이기 위하여 벡터포텐셜을 주로 이용하여 자장해석을 하여 왔으므로 본 논문에서는 유한요소법으로 3차원 자장 문제를 해석한 결과인 자기벡터포텐셜을 맥스웰 응력법과 가상변위법에 적용하여 전기기계의 각 요소의 전자력을 구하는 방법을 제시한다. 제시한 방법의 검증을 위하여 해석 모델을 솔레노이드로 하여 제시한 방법으로 구한 전자력을 3차원으로 해석한 결과와 비교하여 그 유용성을 증명한다.

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다중접지배전선로 고장에 기인한 인근 통신선로 전자유도전압의 계산공식의 유도 (Derivations Of Formulas For Electromagnetic Inductive Potentials In The Communication Line By The Fault Of Multi-Grounding Distribution System)

  • 박영문
    • 전기의세계
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    • 제20권6호
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    • pp.22-28
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    • 1971
  • 3상 4선식 다중접지배전선로에서 고저압혼촉이나 1선지락이 발생하면 인근 통신선로에 전자유도전압이 유기되는데 이 유도전압의 정확한 예측은 전자유도장해의 방지책을 강구하는데 있어서 매우 중요하다. 따라서 본 논문은 이 유도전압을 계산하는 이론식을 제시하는데 그 목적이 있다.

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Influences of Viscous Losses and End Effects on Liquid Metal Flow in Electromagnetic Pumps

  • Kim, Hee-Reyoung;Seo, Joon-Ho;Hong, Sang-Hee;Suwon Cho;Nam, Ho-Yun;Man Cho
    • 한국원자력학회:학술대회논문집
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    • 한국원자력학회 1996년도 춘계학술발표회논문집(2)
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    • pp.233-240
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    • 1996
  • Analyses of the viscous and end effects on electromagnetic (EM) pumps of annular linear induction type for the sodium coolant circulation in Liquid Metal Fast Breeder Reactors have been carried out based on the MHD laminar flow analysis and the electromagnetic field theory. A one-dimensional MHD analysis for the liquid metal flowing through an annular channel has been performed on the basis of a simplified model of equivalent current sheets instead of three-phase currents in the discrete primary windings. The calculations show that the developed pressure difference resulted from electromagnetic and viscous forces in the liquid metal is expressed in terms of the slip, and that the viscous loss effects are negligible compared with electromagnetic driving forces except in the low-slip region where the pumps operate with very high flow velocities comparable with the synchronous velocity of the electromagnetic fields, which is not applicable to the practical EM pumps. A two-dimensional electromagnetic field analysis based on an equivalent current sheet model has found the vector potentials in closed form by means of the Fourier transform method. The resultant magnetic fields and driving forces exerted on the liquid metal reveal that the end effects due to finiteness of the pump length are formidable. In addition, a two-dimensional numerical analysis for vector potentials has been performed by the SOR iterative method on a realistic EM pump model with discretely-distributed currents in the primary windings. The numerical computations for the distributions of magnetic fields and developed pressure differences along the pump axial length also show considerable end effects at both inlet and outlet ends, especially at high flow velocities. Calculations of each magnetic force contribution indicate that the end effects are originated from the magnetic force caused by the induced current ( u x B ) generated by the liquid metal movement across the magnetic field rather than the one (E) produced by externally applied magnetic fields by three-phase winding currents. It is concluded that since the influences of the end effects in addition to viscous losses are extensive particularly in high-velocity operations of the EM pumps, it is necessary to find ways to suppress them, such as proper selection of the pump parameters and compensation of the end effects.

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A finite element based assessment of static behavior of multiphase magneto-electro-elastic beams under different thermal loading

  • Vinyas, M.;Kattimani, S.C.
    • Structural Engineering and Mechanics
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    • 제62권5호
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    • pp.519-535
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    • 2017
  • In this article, static analysis of a magneto-electro-elastic (MEE) beam subjected to various thermal loading and boundary conditions has been investigated. Influence of pyroeffects (pyroelectric and pyromagnetic) on the direct quantities (displacements and the potentials) of the MEE beam under different boundary conditions is studied. The finite element (FE) formulation of the MEE beam is developed using the total potential energy principle and the constitutive equations of the MEE material taking into account the coupling between elastic, electric, magnetic and thermal properties. Using the Maxwell electrostatic and electromagnetic relations, variation of stresses, displacements, electric and magnetic potentials along the length of the MEE beam are investigated. Effect of volume fractions, aspect ratio and boundary conditions on the direct quantities in thermal environment has been determined. The present investigation may be useful in design and analysis of magnetoelectroelastic smart structures and sensor applications.

Electromagnetic Properties of the Dirac Particles

  • Pac, P.Y.
    • Nuclear Engineering and Technology
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    • 제1권2호
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    • pp.103-106
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    • 1969
  • gauge독립한 새로운 unitary변환을 도입함으로서 진동하고 있는 전장안에서의 spin 1/2 가전입자의 운동을 기술하는데 적합한 Dirac 방정식의 표시가 도출되고 있다. 이 새로운 표시에 있어서 potentials를 포함하지 않은 유효 Hamiltonian은 그 비상대론적 근거에서 새로운 특성을 나타내는 사실을 보여주고 있다.

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불균질 매질내에서의 전자파 산란 해석 (Electromagnetic Scattering Analysis from Inhomogeneous Material Scatterers)

  • 김태용;김석재
    • 한국정보통신학회논문지
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    • 제7권3호
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    • pp.478-484
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    • 2003
  • 본 논문에서는 비 등방성 복합 산란체의 전자파 산란문제를 surface integral equation을 적용하여 정식화하는 절차를 보였다. 산란체에는 평면파가 입사하는 것으로 가정하고, 산란체의 표면에 유기되는 등가 표면 전류 및 자류 밀도를 계산하기 위하여 모멘트법을 이용하여 산란체의 표면을 삼각 요소로 이산화하여 적절한 경계조건하에서 몇 가지 수치계산 모델에 대하여 계산을 수행하고 그 유효성을 검증하였다. 계산된 후방산란단면적의 결과는 측정결과와 잘 일치하였다.

벡터 적분법과 준 광학모드에 의한 밀리미터파용 컬러게이트 혼 안테나의 복사패턴 해석 (Analysis of the Radiation Patterns for a Millimeter Wave Corrugated Horn Antenna by Vector Integral Method and Quasi-Optics)

  • Son-Tae Ho
    • 한국전자파학회지:전자파기술
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    • 제5권2호
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    • pp.20-28
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    • 1994
  • 컬러게이트 혼 안테나의 이론적 복사패턴을 벡터적분법과 준 광학모드 이론으로써 각각 구하였다. 혼 개구면에 존재하는 하이브리드 모드의 전자계를 등가 전류원으로 대체하고 포텐셜 이론을 적용하는 벡터 적분법으로 안테나의 복사 전계식을 계산 하였다. 또한, 준 광학모드인 Gaussian-Laguerre 모드를 확장하여 복사 관력식을 유도하였다. 85-115GHz에서 동작하는 컬러게이트 혼 안테나에 대한 복사패턴을 벡터적분법 및 준 광학방법으로 계산하고 비교한 결과 중심 주파수인 100GHz에서는 거의 일치하였으나 85 및 115GHz에서는 다소의 오차가 발생하였다.

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